Question
A vertical metal cylinder of radius $2 \mathrm{~cm}$ and length $2 \mathrm{~m}$ is fixed at the lower end and a load of $100 \mathrm{~kg}$ is put on it. Find (a) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal $=2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$
Step 1
The formula for the area of a circle is $\pi r^2$. Here, the radius $r$ is given as $2 \, \text{cm}$ which is $0.02 \, \text{m}$. So, the area $A$ is \[A = \pi (0.02)^2 = 0.001256 \, \text{m}^2.\] Show more…
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